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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9 за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9 за назвою

Сортувати за: Порядок: Результатів:

  • A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy 
    Haine, L.; Vanderstichelen, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show that the (semi-infinite) Ablowitz-Ladik (AL) hierarchy admits a centerless Virasoro algebra of master symmetries in the sense of Fuchssteiner [Progr. Theoret. Phys. 70 (1983), 1508-1522]. An explicit expression for ...
  • A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions 
    Kuniba, A.; Okado, M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For a finite-dimensional simple Lie algebra g, let U⁺q(g) be the positive part of the quantized universal enveloping algebra, and Aq(g) be the quantized algebra of functions. We show that the transition matrix of the PBW ...
  • A Connection Formula for the q-Confluent Hypergeometric Function 
    Morita, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the ...
  • A Generalization of the Hopf-Cole Transformation 
    Miškinis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical ...
  • Ammann Tilings in Symplectic Geometry 
    Battaglia, F.; Prato, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling ...
  • An Index for Intersecting Branes in Matrix Models 
    Steinacker, H.; Zahn, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce an index indicating the occurrence of chiral fermions at the intersection of branes in matrix models. This allows to discuss the stability of chiral fermions under perturbations of the branes.
  • A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver 
    Mencattini, I.; Tacchella, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show that there exists a morphism between a group Γalg introduced by G. Wilson and a quotient of the group of tame symplectic automorphisms of the path algebra of a quiver introduced by Bielawski and Pidstrygach. The ...
  • A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics 
    Gopalkrishnan, M.; Miller, E.; Shiu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of differential inclusions. Defined on open hypercubes, these families are characterized by particular good behavior under ...
  • A Quasi-Lie Schemes Approach to Second-Order Gambier Equations 
    Cariñena, J.F.; Guha, P.; de Lucas, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equations into members of the same family. In ...
  • Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix 
    Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We study quantum integrable models with GL(3) trigonometric R-matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the ...
  • Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation. This is then applied ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials 
    van Diejen, J.F.; Emsiz, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise ...
  • Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied. The target manifold is distinguished by the fact that the ...
  • Combinatorial Formulae for Nested Bethe Vectors 
    Tarasov, V.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).
  • Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials 
    Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing. We extend the Wigner-Inönü method ...
  • Courant Algebroids. A Short History 
    Kosmann-Schwarzbach, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of ...
  • Dirac Operators on Noncommutative Curved Spacetimes 
    Schenkel, A.; Uhlemann, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative ...
  • Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice 
    Maeda, K.; Tsujimoto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel ...
  • Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups 
    Coquereaux, R.; Zuber, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data – S, T and fusion matrices – are computed explicitly, and illustrated by means of fusion graphs. This allows us to ...

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